Thread: Abstract classes and operators

Code:

class Factor {
  void func() =0;
}
class Function : public Factor;
class Variable : public Factor;

I want to overload the '^' operator so it will return a Factor of the same type of itself. Ie:

Code:

Factor operator^(const Factor& x, const double y);

I don't want to have to overload for every derived class of Factor. Is there anything I can do?